Question

Using the digits 0 to 9 at most one Time each,fill in the boxes below to write equations whose solution is 1/2

_x+_=_x+_

Answer 1

The equation is 4x + 5 = 2x + 6

Explanation:

The solution is
`(1)/(2)` means x =
`(1)/(2)`

Let us put the coefficient of x in the left hand side = 4 and the coefficient of x in the right hand side = 2

∵ 4x - 2x = 2x

Now we need two numerical terms their difference is 1 like 5 and 6 or 6 and 7 or 7 and 8 or 8 and 9

Let us take 5 and 6

∵ 4x + 5 = 2x + 6

- Subtract 2x from both sides

∴ 2x + 5 = 6

- Subtract 5 from both sides

∴ 2x = 1

- Divide both sides by 2

∴ x =
`(1)/(2)`

∴ The solution is
`(1)/(2)`

The equation is 4x + 5 = 2x + 6